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Finding the Fourth Proportional to 47,781.75, 71,672.63 and 16,617

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Solution

The fourth proportional to 47,781.75, 71,672.63 and 16,617 is: 24,925.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,781.75 : 71,672.63 = 16,617 : x
  2. Step 2: Convert to fraction form
    47,781.75/71,672.63 = 16,617/x
  3. Step 3: Cross multiply
    47,781.75x = 71,672.63 × 16,617
  4. Step 4: Simplify right side
    47,781.75x = 1,190,984,092.71
  5. Step 5: Solve for x
    x = 1,190,984,092.71/47,781.75
  6. Step 6: Final answer
    x = 24,925.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.